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Finding the Third Proportional to 242,194 and 363,372

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Solution

The third proportional to 242,194 and 363,372 is: 545,179.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,194 : 363,372 = 363,372 : x
  2. Step 2: Convert to fraction form
    242,194/363,372 = 363,372/x
  3. Step 3: Cross multiply
    242,194x = 363,372 × 363,372
  4. Step 4: Simplify right side
    242,194x = 132,039,210,384
  5. Step 5: Solve for x
    x = 132,039,210,384/242,194
  6. Step 6: Final answer
    x = 545,179.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.